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Finding the Fourth Proportional to 102,382.88, 153,510.96 and 39,980

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Solution

The fourth proportional to 102,382.88, 153,510.96 and 39,980 is: 59,945.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,382.88 : 153,510.96 = 39,980 : x
  2. Step 2: Convert to fraction form
    102,382.88/153,510.96 = 39,980/x
  3. Step 3: Cross multiply
    102,382.88x = 153,510.96 × 39,980
  4. Step 4: Simplify right side
    102,382.88x = 6,137,368,180.80
  5. Step 5: Solve for x
    x = 6,137,368,180.80/102,382.88
  6. Step 6: Final answer
    x = 59,945.26

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.